English

An elliptic Harnack inequality for random walk in balanced environments

Probability 2018-07-11 v1

Abstract

We prove a Harnack inequality for the solutions of a difference equation with non-elliptic balanced i.i.d. coefficients. Along the way we prove a (weak) quantitative homogenisation result, which we believe is of some interest too.

Keywords

Cite

@article{arxiv.1807.03531,
  title  = {An elliptic Harnack inequality for random walk in balanced environments},
  author = {Noam Berger and Moran Cohen and Jean-Dominique Deuschel and Xiaoqin Guo},
  journal= {arXiv preprint arXiv:1807.03531},
  year   = {2018}
}

Comments

37 pages, 3 figures

R2 v1 2026-06-23T02:56:00.608Z